New essay: "Toward an exploratory medium for mathematics" http://cognitivemedium.com/emm/emm.html
@jeremyjkun The question "prove the SVD" is pretty unnatural. The question "What's the maximal stretch of a matrix?" seems pretty natural
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@jeremyjkun Of course, by exploring the former question we are led very naturally to discover the SVD -
@jeremyjkun The important observation is that the tangent at Ms is orthogonal to Ms. That's easily discovered and proved through an
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